메뉴 건너뛰기




Volumn 2014, Issue 5, 2014, Pages

Two-loop planar master integrals for the production of off-shell vector bosons in hadron collisions

Author keywords

NLO Computations; QCD Phenomenology

Indexed keywords


EID: 84939501443     PISSN: None     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/s13130-014-8200-x     Document Type: Article
Times cited : (82)

References (49)
  • 1
    • 84884550277 scopus 로고    scopus 로고
    • Two-loop master integrals for q q → V V: The planar topologies
    • [arXiv:1306.6344] [INSPIRE]
    • T. Gehrmann, L. Tancredi and E. Weihs, Two-loop master integrals for q q → V V: the planar topologies, JHEP 08 (2013) 070 [arXiv:1306.6344] [INSPIRE].
    • (2013) JHEP , vol.8 , pp. 070
    • Gehrmann, T.1    Tancredi, L.2    Weihs, E.3
  • 4
    • 85040809579 scopus 로고    scopus 로고
    • Measurement of W +W − and ZZ production cross sections in pp collisions at √s = 8 TeV
    • CMS collaboration, [arXiv:1301.4698] [INSPIRE]
    • CMS collaboration, Measurement of W +W − and ZZ production cross sections in pp collisions at √s = 8 TeV, Phys. Lett. B 721 (2013) 190 [arXiv:1301.4698] [INSPIRE].
    • (2013) Phys. Lett. B , vol.721 , pp. 190
  • 5
    • 84869414246 scopus 로고    scopus 로고
    • Measurement of W Z production in proton-proton collisions at √s=7TeV with the ATLAS detector
    • ATLAS collaboration, [arXiv:1208.1390] [INSPIRE]
    • ATLAS collaboration, Measurement of W Z production in proton-proton collisions at √s=7TeV with the ATLAS detector, Eur. Phys. J.C 72(2012) 2173 [arXiv:1208.1390] [INSPIRE].
    • (2012) Eur. Phys. J.C , vol.72 , pp. 2173
  • 6
    • 84879074810 scopus 로고    scopus 로고
    • Decay of a massive neutrino in magnetized electron gas, Phys
    • [INSPIRE]
    • A.I. Ternov and P.A. Eminov, Decay of a massive neutrino in magnetized electron gas, Phys. Rev. D 87 (2013) 113001 [INSPIRE].
    • (2013) Rev. D , vol.87
    • Ternov, A.I.1    Eminov, P.A.2
  • 7
    • 0002467293 scopus 로고    scopus 로고
    • Helicity amplitudes for O(αs) production of W +W −, W±Z, ZZ, W±γ, or Zγ pairs at hadron colliders
    • [hep-ph/9803250] [INSPIRE]
    • L.J. Dixon, Z. Kunszt and A. Signer, Helicity amplitudes for O(αs) production of W +W −, W±Z, ZZ, W±γ, or Zγ pairs at hadron colliders, Nucl. Phys. B 531 (1998) 3 [hep-ph/9803250] [INSPIRE].
    • (1998) Nucl. Phys. B , vol.531 , pp. 3
    • Dixon, L.J.1    Kunszt, Z.2    Signer, A.3
  • 8
    • 33845937101 scopus 로고    scopus 로고
    • Vector boson pair production in hadronic collisions at order αs: Lepton correlations and anomalous couplings
    • [hep-ph/9907305] [INSPIRE]
    • L.J. Dixon, Z. Kunszt and A. Signer, Vector boson pair production in hadronic collisions at order αs: lepton correlations and anomalous couplings, Phys. Rev. D 60 (1999) 114037 [hep-ph/9907305] [INSPIRE].
    • (1999) Phys. Rev. D , vol.60
    • Dixon, L.J.1    Kunszt, Z.2    Signer, A.3
  • 9
    • 84896383526 scopus 로고    scopus 로고
    • Vector-boson pair production at the LHC to O(α3) accuracy
    • [arXiv:1305.5402] [INSPIRE]
    • A. Bierweiler, T. Kasprzik and J.H. Kühn, Vector-boson pair production at the LHC to O(α3) accuracy, JHEP 12 (2013) 071 [arXiv:1305.5402] [INSPIRE].
    • (2013) JHEP , vol.12 , pp. 071
    • Bierweiler, A.1    Kasprzik, T.2    Kühn, J.H.3
  • 10
    • 84896379549 scopus 로고    scopus 로고
    • Massive gauge boson pair production at the LHC: A next-to-leading order story
    • [arXiv:1307.4331] [INSPIRE]
    • J. Baglio, L.D. Ninh and M.M. Weber, Massive gauge boson pair production at the LHC: a next-to-leading order story, Phys. Rev. D 88 (2013) 113005 [arXiv:1307.4331] [INSPIRE].
    • (2013) Rev. D , vol.88
    • Baglio, J.1    Ninh, L.D.2    Weber, M.M.3
  • 11
    • 84884849437 scopus 로고    scopus 로고
    • Threshold resummed and approximate next-to-next-to-leading order results for W +W − pair production at the LHC
    • [arXiv:1307.3249] [INSPIRE]
    • S. Dawson, I.M. Lewis and M. Zeng, Threshold resummed and approximate next-to-next-to-leading order results for W +W − pair production at the LHC, Phys. Rev. D 88 (2013) 054028 [arXiv:1307.3249] [INSPIRE].
    • (2013) Phys. Rev. D , vol.88
    • Dawson, S.1    Lewis, I.M.2    Zeng, M.3
  • 12
    • 84896703140 scopus 로고    scopus 로고
    • W +W −, W Z and ZZ production in the POWHEG-BOX-V2
    • [arXiv:1311.1365] [INSPIRE]
    • P. Nason and G. Zanderighi, W +W −, W Z and ZZ production in the POWHEG-BOX-V2, Eur. Phys. J. C 74 (2014) 2702 [arXiv:1311.1365] [INSPIRE].
    • (2014) Eur. Phys. J. C , vol.74 , pp. 2702
    • Nason, P.1    Zanderighi, G.2
  • 13
    • 84884832585 scopus 로고    scopus 로고
    • Constraining the Higgs boson width with ZZ production at the LHC
    • [arXiv:1307.4935] [INSPIRE]
    • F. Caola and K. Melnikov, Constraining the Higgs boson width with ZZ production at the LHC, Phys. Rev. D 88 (2013) 054024 [arXiv:1307.4935] [INSPIRE].
    • (2013) Phys. Rev. D , vol.88
    • Caola, F.1    Melnikov, K.2
  • 14
    • 84898974918 scopus 로고    scopus 로고
    • Bounding the Higgs width at the LHC using full analytic results for gg → e−e+µ−µ+
    • [arXiv:1311.3589] [INSPIRE]
    • J.M. Campbell, R.K. Ellis and C. Williams, Bounding the Higgs width at the LHC using full analytic results for gg → e−e+µ−µ+, JHEP 04 (2014) 060 [arXiv:1311.3589] [INSPIRE].
    • (2014) JHEP , vol.4 , pp. 060
    • Campbell, J.M.1    Ellis, R.K.2    Williams, C.3
  • 15
    • 84893838925 scopus 로고    scopus 로고
    • NNLO QCD corrections to jet production at hadron colliders from gluon scattering
    • [arXiv:1310.3993] [INSPIRE]
    • J. Currie, A. Gehrmann-De Ridder, E.W.N. Glover and J. Pires, NNLO QCD corrections to jet production at hadron colliders from gluon scattering, JHEP 01 (2014) 110 [arXiv:1310.3993] [INSPIRE].
    • (2014) JHEP , vol.1 , pp. 110
    • Currie, J.1    Gehrmann-De Ridder, A.2    Glover, E.3    Pires, J.4
  • 16
    • 84876230950 scopus 로고    scopus 로고
    • Second order QCD corrections to jet production at hadron colliders: The all-gluon contribution
    • [arXiv:1301.7310] [INSPIRE]
    • A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover and J. Pires, Second order QCD corrections to jet production at hadron colliders: the all-gluon contribution, Phys. Rev. Lett. 110 (2013) 162003 [arXiv:1301.7310] [INSPIRE].
    • (2013) Phys. Rev. Lett , vol.110
    • Gehrmann-De Ridder, A.1    Gehrmann, T.2    Glover, E.3    Pires, J.4
  • 17
    • 84879202410 scopus 로고    scopus 로고
    • Total Top-Quark Pair-Production Cross section at Hadron Colliders Through O(αS)
    • [arXiv:1303.6254] [INSPIRE]
    • M. Czakon, P. Fiedler and A. Mitov, Total Top-Quark Pair-Production Cross section at Hadron Colliders Through O(αS), Phys. Rev. Lett. 110 (2013) 252004 [arXiv:1303.6254] [INSPIRE].
    • (2013) Phys. Rev. Lett , vol.110
    • Czakon, M.1    Fiedler, P.2    Mitov, A.3
  • 18
    • 84866850755 scopus 로고    scopus 로고
    • Percent Level Precision Physics at the Tevatron: First Genuine NNLO QCD Corrections to q q → tt+ X
    • [arXiv:1204.5201] [INSPIRE]
    • P. Bärnreuther, M. Czakon and A. Mitov, Percent Level Precision Physics at the Tevatron: First Genuine NNLO QCD Corrections to q q → tt+ X, Phys. Rev. Lett. 109 (2012) 132001 [arXiv:1204.5201] [INSPIRE].
    • (2012) Phys. Rev. Lett , vol.109
    • Bärnreuther, P.1    Czakon, M.2    Mitov, A.3
  • 19
    • 84880384910 scopus 로고    scopus 로고
    • Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
    • [arXiv:1302.6216] [INSPIRE]
    • R. Boughezal, F. Caola, K. Melnikov, F. Petriello and M. Schulze, Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD, JHEP 06 (2013) 072 [arXiv:1302.6216] [INSPIRE].
    • (2013) JHEP , vol.6 , pp. 072
    • Boughezal, R.1    Caola, F.2    Melnikov, K.3    Petriello, F.4    Schulze, M.5
  • 20
    • 0002872832 scopus 로고
    • Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions
    • F.V, [INSPIRE]
    • F.V. Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions, Phys. Lett. B 100 (1981) 65 [INSPIRE].
    • (1981) Phys. Lett. B , vol.100 , pp. 65
  • 21
    • 0000312317 scopus 로고
    • Integration by Parts: The Algorithm to Calculate β-functions in 4 Loops
    • [INSPIRE]
    • K.G. Chetyrkin and F.V. Tkachov, Integration by Parts: The Algorithm to Calculate β-functions in 4 Loops, Nucl. Phys. B 192 (1981) 159 [INSPIRE].
    • (1981) Nucl. Phys. B , vol.192 , pp. 159
    • Chetyrkin, K.G.1    Tkachov, F.V.2
  • 22
    • 0042910977 scopus 로고
    • Differential equations method: New technique for massive Feynman diagrams calculation
    • [INSPIRE]
    • A.V. Kotikov, Differential equations method: new technique for massive Feynman diagrams calculation, Phys. Lett. B 254 (1991) 158 [INSPIRE].
    • (1991) Phys. Lett. B , vol.254 , pp. 158
    • Kotikov, A.V.1
  • 23
    • 0040054123 scopus 로고    scopus 로고
    • Differential equations for Feynman graph amplitudes
    • [hep-th/9711188] [INSPIRE]
    • E. Remiddi, Differential equations for Feynman graph amplitudes, Nuovo Cim. A 110 (1997) 1435 [hep-th/9711188] [INSPIRE].
    • (1997) Nuovo Cim. A , vol.110 , pp. 1435
    • Remiddi, E.1
  • 24
    • 58149280611 scopus 로고    scopus 로고
    • Algorithm FIRE - Feynman Integral REduction
    • [arXiv:0807.3243] [INSPIRE]
    • A.V. Smirnov, Algorithm FIRE - Feynman Integral REduction, JHEP 10 (2008) 107 [arXiv:0807.3243] [INSPIRE].
    • (2008) JHEP , vol.10 , pp. 107
    • Smirnov, A.V.1
  • 25
    • 84888298312 scopus 로고    scopus 로고
    • FIRE4, LiteRed and accompanying tools to solve integration by parts relations
    • [arXiv:1302.5885] [INSPIRE]
    • A.V. Smirnov and V.A. Smirnov, FIRE4, LiteRed and accompanying tools to solve integration by parts relations, Comput. Phys. Commun. 184 (2013) 2820 [arXiv:1302.5885] [INSPIRE].
    • (2013) Comput. Phys. Commun , vol.184 , pp. 2820
    • Smirnov, A.V.1    Smirnov, V.A.2
  • 26
    • 0041173465 scopus 로고    scopus 로고
    • The Master differential equations for the two loop sunrise selfmass amplitudes
    • [hep-th/9805118] [INSPIRE]
    • M. Caffo, H. Czyz, S. Laporta and E. Remiddi, The Master differential equations for the two loop sunrise selfmass amplitudes, Nuovo Cim. A 111 (1998) 365 [hep-th/9805118] [INSPIRE].
    • (1998) Nuovo Cim. A , vol.111 , pp. 365
    • Caffo, M.1    Czyz, H.2    Laporta, S.3    Remiddi, E.4
  • 27
    • 0000290661 scopus 로고    scopus 로고
    • Differential equations for two loop four point functions
    • [hep-ph/9912329] [INSPIRE]
    • T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions, Nucl. Phys. B 580 (2000) 485 [hep-ph/9912329] [INSPIRE].
    • (2000) Nucl. Phys. B , vol.580 , pp. 485
    • Gehrmann, T.1    Remiddi, E.2
  • 28
    • 84879212445 scopus 로고    scopus 로고
    • Multiloop Integrals in Dimensional Regularization Made Simple
    • J.M. Henn, Multiloop Integrals in Dimensional Regularization Made Simple, Phys. Rev. Lett. 110 (2013) 251601.
    • (2013) Phys. Rev. Lett , vol.110
    • Henn, J.M.1
  • 29
    • 84881448242 scopus 로고    scopus 로고
    • Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation
    • [arXiv:1306.2799] [INSPIRE]
    • J.M. Henn, A.V. Smirnov and V.A. Smirnov, Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation, JHEP 07 (2013) 128 [arXiv:1306.2799] [INSPIRE].
    • (2013) JHEP , vol.7 , pp. 128
    • Henn, J.M.1    Smirnov, A.V.2    Smirnov, V.A.3
  • 30
    • 84890381026 scopus 로고    scopus 로고
    • Analytic results for two-loop master integrals for Bhabha scattering I
    • [arXiv:1307.4083] [INSPIRE]
    • J.M. Henn and V.A. Smirnov, Analytic results for two-loop master integrals for Bhabha scattering I, JHEP 11 (2013) 041 [arXiv:1307.4083] [INSPIRE].
    • (2013) JHEP , vol.11 , pp. 041
    • Henn, J.M.1    Smirnov, V.A.2
  • 31
    • 84901415194 scopus 로고    scopus 로고
    • Evaluating single-scale and/or non-planar diagrams by differential equations
    • [arXiv:1312.2588] [INSPIRE]
    • J.M. Henn, A.V. Smirnov and V.A. Smirnov, Evaluating single-scale and/or non-planar diagrams by differential equations, JHEP 03 (2014) 088 [arXiv:1312.2588] [INSPIRE].
    • (2014) JHEP , vol.3 , pp. 088
    • Henn, J.M.1    Smirnov, A.V.2    Smirnov, V.A.3
  • 32
    • 84901414788 scopus 로고    scopus 로고
    • Magnus and Dyson Series for Master Integrals
    • [arXiv:1401.2979] [INSPIRE]
    • M. Argeri et al., Magnus and Dyson Series for Master Integrals, JHEP 03 (2014) 082 [arXiv:1401.2979] [INSPIRE].
    • (2014) JHEP , vol.3 , pp. 082
    • Argeri, M.1
  • 33
    • 0000396827 scopus 로고    scopus 로고
    • Analytical result for dimensionally regularized massless on shell double box
    • [hep-ph/9905323] [INSPIRE]
    • V.A. Smirnov, Analytical result for dimensionally regularized massless on shell double box, Phys. Lett. B 460 (1999) 397 [hep-ph/9905323] [INSPIRE].
    • (1999) Phys. Lett. B , vol.460 , pp. 397
    • Smirnov, V.A.1
  • 34
    • 0034736841 scopus 로고    scopus 로고
    • Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators
    • [hep-ph/9907385] [INSPIRE]
    • V.A. Smirnov and O.L. Veretin, Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators, Nucl. Phys. B 566 (2000) 469 [hep-ph/9907385] [INSPIRE].
    • (2000) Nucl. Phys. B , vol.566 , pp. 469
    • Smirnov, V.A.1    Veretin, O.L.2
  • 35
    • 0001718629 scopus 로고    scopus 로고
    • Nonplanar massless two loop Feynman diagrams with four on-shell legs
    • [hep-ph/9909506] [INSPIRE]
    • J.B. Tausk, Nonplanar massless two loop Feynman diagrams with four on-shell legs, Phys. Lett. B 469 (1999) 225 [hep-ph/9909506] [INSPIRE].
    • (1999) Phys. Lett. B , vol.469 , pp. 225
    • Tausk, J.B.1
  • 36
    • 0001626271 scopus 로고    scopus 로고
    • The Tensor reduction and master integrals of the two loop massless crossed box with lightlike legs
    • [hep-ph/0003261] [INSPIRE]
    • C. Anastasiou, T. Gehrmann, C. Oleari, E. Remiddi and J.B. Tausk, The Tensor reduction and master integrals of the two loop massless crossed box with lightlike legs, Nucl. Phys. B 580 (2000) 577 [hep-ph/0003261] [INSPIRE].
    • (2000) Nucl. Phys. B , vol.580 , pp. 577
    • Anastasiou, C.1    Gehrmann, T.2    Oleari, C.3    Remiddi, E.4    Tausk, J.B.5
  • 37
    • 0035821473 scopus 로고    scopus 로고
    • Two loop master integrals for γ∗→ 3 jets: The Planar topologies
    • [hep-ph/0008287] [INSPIRE]
    • T. Gehrmann and E. Remiddi, Two loop master integrals for γ∗ → 3 jets: The Planar topologies, Nucl. Phys. B 601 (2001) 248 [hep-ph/0008287] [INSPIRE].
    • (2001) Nucl. Phys. B , vol.601 , pp. 248
    • Gehrmann, T.1    Remiddi, E.2
  • 38
    • 0035821478 scopus 로고    scopus 로고
    • Two loop master integrals for γ∗→ 3 jets: The Nonplanar topologies
    • [hep-ph/0101124] [INSPIRE]
    • T. Gehrmann and E. Remiddi, Two loop master integrals for γ∗ → 3 jets: The Nonplanar topologies, Nucl. Phys. B 601 (2001) 287 [hep-ph/0101124] [INSPIRE].
    • (2001) Nucl. Phys. B , vol.601 , pp. 287
    • Gehrmann, T.1    Remiddi, E.2
  • 40
    • 84966202575 scopus 로고
    • Iterated path integrals
    • [INSPIRE]
    • K.-T. Chen, Iterated path integrals, Bull. Am. Math. Soc. 83 (1977) 831 [INSPIRE].
    • (1977) Bull. Am. Math. Soc , vol.83 , pp. 831
    • Chen, K.-T.1
  • 41
    • 0037163505 scopus 로고    scopus 로고
    • Analytic continuation of massless two loop four point functions
    • [hep-ph/0207020] [INSPIRE]
    • T. Gehrmann  nd E. Remiddi, Analytic continuation of massless two loop four point functions, Nucl. Phys. B 640 (2002) 379 [hep-ph/0207020] [INSPIRE].
    • (2002) , vol.640 , pp. 379
    • Gehrmann, T.1    Remiddi, E.2
  • 42
    • 80053163475 scopus 로고    scopus 로고
    • Double Parton Scattering Singularity in One-Loop Integrals
    • [arXiv:1103.1888] [INSPIRE]
    • J.R. Gaunt and W.J. Stirling, Double Parton Scattering Singularity in One-Loop Integrals, JHEP 06 (2011) 048 [arXiv:1103.1888] [INSPIRE].
    • (2011) JHEP , vol.6 , pp. 048
    • Gaunt, J.R.1    Stirling, W.J.2
  • 43
    • 0032577752 scopus 로고    scopus 로고
    • Asymptotic expansion of Feynman integrals near threshold
    • [hep-ph/9711391] [INSPIRE]
    • M. Beneke and V.A. Smirnov, Asymptotic expansion of Feynman integrals near threshold, Nucl. Phys. B 522 (1998) 321 [hep-ph/9711391] [INSPIRE].
    • (1998) Nucl. Phys. B , vol.522 , pp. 321
    • Beneke, M.1    Smirnov, V.A.2
  • 44
    • 0012431843 scopus 로고    scopus 로고
    • Applied asymptotic expansions in momenta and masses
    • [INSPIRE]
    • V.A. Smirnov, Applied asymptotic expansions in momenta and masses, Springer Tracts Mod. Phys. 177 (2002) 1 [INSPIRE].
    • (2002) Springer Tracts Mod. Phys , vol.177 , pp. 1
    • Smirnov, V.A.1
  • 45
    • 85114174627 scopus 로고    scopus 로고
    • Analytic tools for Feynman integrals
    • [INSPIRE]
    • V.A. Smirnov, Analytic tools for Feynman integrals, Springer Tracts Mod. Phys. 250 (2012) 1 [INSPIRE].
    • (2012) Springer Tracts Mod. Phys , vol.250 , pp. 1
    • Smirnov, V.A.1
  • 46
    • 84884226244 scopus 로고    scopus 로고
    • Geometric approach to asymptotic expansion of Feynman integrals
    • [arXiv:1011.4863] [INSPIRE]
    • A. Pak and A. Smirnov, Geometric approach to asymptotic expansion of Feynman integrals, Eur. Phys. J. C 71 (2011) 1626 [arXiv:1011.4863] [INSPIRE].
    • (2011) Eur. Phys. J. C , vol.71 , pp. 1626
    • Pak, A.1    Smirnov, A.2
  • 47
    • 84865649367 scopus 로고    scopus 로고
    • Expansion by regions: Revealing potential and Glauber regions automatically
    • [arXiv:1206.0546] [INSPIRE]
    • B. Jantzen, A.V. Smirnov and V.A. Smirnov, Expansion by regions: revealing potential and Glauber regions automatically, Eur. Phys. J. C 72 (2012) 2139 [arXiv:1206.0546] [INSPIRE].
    • (2012) Eur. Phys. J. C , vol.72 , pp. 2139
    • Jantzen, B.1    Smirnov, A.V.2    Smirnov, V.A.3
  • 48
    • 84870449596 scopus 로고    scopus 로고
    • Three-mass triangle integrals and single-valued polylogarithms
    • [arXiv:1209.2722] [INSPIRE]
    • F. Chavez and C. Duhr, Three-mass triangle integrals and single-valued polylogarithms, JHEP 11 (2012) 114 [arXiv:1209.2722] [INSPIRE].
    • (2012) JHEP , vol.11 , pp. 114
    • Chavez, F.1    Duhr, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.